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Finding the Third Proportional to 253,695.38 and 589,943.25

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Solution

The third proportional to 253,695.38 and 589,943.25 is: 1,371,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,695.38 : 589,943.25 = 589,943.25 : x
  2. Step 2: Convert to fraction form
    253,695.38/589,943.25 = 589,943.25/x
  3. Step 3: Cross multiply
    253,695.38x = 589,943.25 × 589,943.25
  4. Step 4: Simplify right side
    253,695.38x = 348,033,038,220.56
  5. Step 5: Solve for x
    x = 348,033,038,220.56/253,695.38
  6. Step 6: Final answer
    x = 1,371,854.09

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.